Factor 24n -32 using the GC

Answer 1

To factor 24n - 32 using the Greatest Common Factor (GCF) method, first, let's find the GCF of the given numbers, which are 24 and 32.

The prime factorization of 24 is 2^3 * 3^1.
The prime factorization of 32 is 2^5.

To find the GCF, we take the common prime factors that are raised to their lowest exponent. Therefore, the GCF of 24 and 32 is 2^3, which is 8.

Now, let's factor out 8 from 24n - 32:
24n - 32 = 8(3n - 4)

So, the factored form of 24n - 32 using the GCF method is 8(3n - 4).